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Transformations of Logarithmic Functions

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Wize High School Grade 12 Pre-Calculus Textbook > Logarithmic Functions

Transformations of Logarithmic Functions

5 Activities

Wize High School Algebra II Textbook (Common Core) > Logarithmic Functions

Transformations of Logarithmic Functions

5 Activities

Match the function with the correct graph.
A.
f(x)=log⁡2(2x+4)−3f(x)=\log_2{(2x+4)}-3
B.
f(x)=−2log⁡(x−2)+1f(x)=-2\log(x-2)+1
C.
f(x)=−12log⁡(−2x+4)−1f(x)=-\dfrac{1}{2}\log(-2x+4)-1
D.
f(x)=−log⁡3(−0.25x−5)f(x)=-\log_3{(-0.25x-5)}








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If the point (a,b)(a,b) is on the function y=log⁡5(4−3x)−2y=\log_5(4-3x)-2, then what point must be on y=5xy=5^x?
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If the point (1,1)(1,1) is on the function y=−3log⁡2(x+1)−2y=-3\log_{2}(x+1)-2, then what point must be on y=2xy=2^x?
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Is (−3,−2)(-3,-2) a graph of y=−log⁡2(−x+5)+1y=-\log_2{(-x+5)}+1?
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Is (3,0)(3,0) a point on the graph of y=−log⁡(x−2)+3y=-\log(x-2)+3?
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The function y=log⁡xy=\log_{}{x} is vertically expanded by a factor of 2, horizontally compressed by a factor fo 34\dfrac{3}{4}, and translated 5 up.
What's the equation of the transformed function?
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Practice: Transformations of Logarithmic Functions
The function y=log⁡xy=\log_{}{x} is vertically reflected about the x-axis, translated 3 units right, and horizontally expanded by a factor of 44.
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More Transformations of Logarithmic Functions Questions:
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
If the point (a,b)(a,b) is on the function y=log⁡5(4−3x)−2y=\log_5(4-3x)-2, then what point must be on y=5xy=5^x?
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
If the point (1,1)(1,1) is on the function y=−3log⁡2(x+1)−2y=-3\log_{2}(x+1)-2, then what point must be on y=2xy=2^x?
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
Is (−3,−2)(-3,-2) a graph of y=−log⁡2(−x+5)+1y=-\log_2{(-x+5)}+1?
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
Is (3,0)(3,0) a point on the graph of y=−log⁡(x−2)+3y=-\log(x-2)+3?
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
The function y=log⁡xy=\log_{}{x} is vertically expanded by a factor of 2, horizontally compressed by a factor fo 34\dfrac{3}{4}, and translated 5 up.
What's the equation of the transformed function?
Transformations of Logarithmic Functions
Practice: Transformations of Logarithmic Functions
The function y=log⁡xy=\log_{}{x} is vertically reflected about the x-axis, translated 3 units right, and horizontally expanded by a factor of 44.
What's the equation of the transformed function?